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Finding the Fourth Proportional to 65,267.98, 97,888.30 and 31,954.50

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Solution

The fourth proportional to 65,267.98, 97,888.30 and 31,954.50 is: 47,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,267.98 : 97,888.30 = 31,954.50 : x
  2. Step 2: Convert to fraction form
    65,267.98/97,888.30 = 31,954.50/x
  3. Step 3: Cross multiply
    65,267.98x = 97,888.30 × 31,954.50
  4. Step 4: Simplify right side
    65,267.98x = 3,127,971,602.46
  5. Step 5: Solve for x
    x = 3,127,971,602.46/65,267.98
  6. Step 6: Final answer
    x = 47,925.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.